Robust l2-gain control for 2D nonlinear stochastic systems with time-varying delays and actuator saturation

被引：36

作者：

Huang, Shipei ^{[1
]}

Xiang, Zhengrong ^{[1
]}

Karimi, Hamid Reza ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Univ Agder, Fac Sci & Engn, Dept Engn, N-4898 Grimstad, Norway

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 07期

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; 2-D DISCRETE-SYSTEMS; STABILITY ANALYSIS; STATE SATURATION; 2-DIMENSIONAL SYSTEMS; DEPENDENT STABILITY; LINEAR-SYSTEMS; ROESSER MODEL; STABILIZATION; DISTURBANCE;

D O I：

10.1016/j.jfranklin.2013.05.012

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the problems of stability analysis and l(2)-gain control for a class of two-dimensional (2D) nonlinear stochastic systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior, and a sufficient condition for the existence of mean-square exponential stability of the considered system is derived. Then, a state feedback controller which guarantees the resulting closed-loop system to be mean-square exponentially stable with l(2)-gain performance is proposed, and an optimization procedure to maximize the estimation of domain of attraction is also given. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1865 / 1885

页数：21

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